Pion distribution amplitude from Euclidean correlation functions

Abstract

Following the proposal in (Braun and Müller. Eur Phys J C55:349, 2008), we study the feasibility to calculate the pion distribution amplitude (DA) from suitably chosen Euclidean correlation functions at large momentum. In our lattice study we employ the novel momentum smearing technique (Bali et al. Phys Rev D93:094515, 2016; Bali et al. Phys Lett B774:91, 2017). This approach is complementary to the calculations of the lowest moments of the DA using the Wilson operator product expansion and avoids mixing with lower dimensional local operators on the lattice. The theoretical status of this method is similar to that of quasidistributions (Ji. Phys Rev Lett 110:262002, 2013) that have recently been used in (Zhang et al. Phys Rev D95:094514, 2017) to estimate the twist two pion DA. The similarities and differences between these two techniques are highlighted.

Parton distributions from lattice data: the nonsinglet case

“…Similar expressions were worked out in Ref. [72] in the context of the pion distribution amplitude. The proof of Eqs.…”

Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD

“…In the past few years exploratory studies appeared aiming at the extraction of the pion LCDA from lattice calculations of suitable Euclidean correlation functions in position space [95][96][97][98], see also refs. [99][100][101].…”

Parton distribution functions from Ioffe time pseudo-distributions

“…The first lattice implementation of this technique was performed in [34,35] to compute the iso-vector quark pseudo-PDF in the quenched approximation. Other Good Lattice Cross Sections have been calculated to extract the pion DA [36,37] and the pion PDF [38]. We refer the reader to [39][40][41][42] for detailed reviews of these topics.…”